length n = 8
dimension k = 7
alphabet length q = 4

minimum distance d = 2

generator matrix:
01111111
01111123
01111213
01112113
01121113
01211113
12333332

projective group of automorphisms generated by:
0100000
1000000
0000010
0010000
0000100
0001000
0000001

0001000
0000010
0010000
0000100
0100000
1000000
0000001